Gov. Chris Christie has dismissed a suggestion from Sen. Rand Paul for a truce after the Kentucky lawmaker invited the New Jersey governor for a beer in Washington, D.C., so that they could “kiss and makeup.”

“I’m running for reelection in New Jersey, I don’t really have time for that at the moment,” Christie said on New Jersey 101.5, continuing to take shots at Paul in the process.

“You know, if I find myself down in Washington, I’ll certainly look him up, but I don’t suspect I’ll be there any time soon,” Christie continued during his monthly “Ask the Governor” radio appearance. “I’ve got work to do here to get reelected … [and] dealing with the other issues that invariably come on the desk of a governor when you are responsible for actually doing things and not just debating.”

When asked about a possible, Paul-Christie 2016 ticket, which some have hypothesized, Paul smiled, and then invited Christie publicly for a sit-down.

“We’re going to have to patch things up. If we can sit down. I’m inviting him for a beer. Anytime he would like to come down and sit down at the pub right around the corner from the Senate and have a beer,” Paul told Cavuto. “We’ll formalize it, we’ll put it in writing but I think we could sit down and have a beer and mend things.”

“At times people have said Chris Christie has some libertarian leanings so it’s actually a little ironic that we see him criticizing libertarians in the party for libertarian influences, because some libertarians actually had high hopes that he had some libertarian leanings,” Paul added, joking that maybe they could meet on neutral ground, like Philadelphia, if necessary. “The offer to have a beer with Chris Christie stands. If he wants to break bread and see if we can find some common ground, I think it’ll help the party to not have us feuding.”

Paul first extended the proverbial olive branch to Christie on a radio show Wednesday morning, hoping to bring pause to a week-long feud over national security and “pork barrel spending.”

“I didn’t pick this recent fight with the governor down in New Jersey, but…I think the party does better if we have less infighting so I would suggest, if he wants to ratchet it down, I’m more than happy to,” he said on “New Hampshire Today.”

But Christie, still slinging zingers Paul’s way, said it was Paul who picked the fight to get attention.

“Sen. Paul wanted to make it about Sen. Paul, so that’s fine,” Christie said. “I answered a question on national security, and … in fact I didn’t even bring up Sen. Paul’s name. The reporter who asked the question said, ‘Sen. Paul?’ And I said, ‘Well, you could say it about lots of people, and he’s certainly one of them.’ So, you know, I don’t know why Sen. Paul is so out of whack about this.”

Christie also accused Paul of escalating the fight.

“At the end of the day, I never called him any names, yet he called me names. I didn’t use any childish-type phrases like ‘gimme, gimme, gimme,’ he did. And I just have to assume from that he’s just trying to get attention. And that’s fine. He’s not the first politician who’s used me to get attention in the national media, and I’m sure he won’t be the last,” Christie said, labeling the name-calling ‘juvenile’ but not offensive.

Before Wednesday’s sharp change in gears for the senator, Paul on just Tuesday afternoon referred to the governor as the “king of bacon” in an interview on CNN, one of the many barbs traded in the past week. Still, Paul maintains that his model of conservatism is better for expanding the party.

“I’ve been trying to help the national party grow bigger,” Paul reiterated one of his more familiar talking points to his radio host. “I’m the kind of candidate, if I were to be a national candidate, that would be someone that says, ‘you know, young people, Republicans…will protect your privacy, we do care about the internet, we do want to promote…a strong national defense but a less aggressive policy.’ And I think if you see that, I think that will grow our party.”

Delaware Gov. Jack Markell got in on the spat, offering Newark, Del. as a meeting point between Trenton and Washington, D.C., suggesting they get a beer from Delaware based Dogfish Head at a local bar.